[pzhon]

55 wins 50.1966% against KJs, averaged over both arrangements of suits. That's not particularly close. 55 wins 50.0254% against KJs when there is no suit in common. Perhaps that is what you meant.

44 wins 50.0232% against JTo with no suits in common. That is slightly closer.

There are a few possible sources of pairs of hands close to 50%, such as pocket pairs versus connected overcards and low suited connectors versus low garbage hands. You can investigate them systematically using Two Dimes or PokerStove, but I won't bother. If you count the possibilities of hands that should be between 48-52 and 52-48, then divide 2% by the number, and you get a rough indication of how close to 50-50 you would expect some hand to be.